Suppose fÝxÞ = x?1 x 4 ?1 if x ² 2 |x?3| x?3 if 2 < x . Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities. (6 Points)

.G i v e nfÝxÞ = x 4 +17 6x 2 +x?1 , identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities. (2 Points)

Calculus AB Assignment Continuity Problems 4. Suppose fÝxÞ = x?1 x 4 ?1 if x ² 2 |x?3| x?3 if 2 < x . Identify any points of discontinuity, and determine (giving reasons) if they are removable, infinite (essential), or jump discontinuities. (6 Points) 5. Find all the constants a that make the function fÝxÞ = 3Ýa?xÞ if x < 3 a 2 ?x 2 if x ³ 3 continuous for all x. (2 Points) 6.G i v e ngÝxÞ = x 3 ?2x+2 if x ²? 2 x 2 +ax+bi f ?2 < x < 1 4x 4 ?3x 3 ?5x+2 if 1 ² x , find values for a and b so that the function is continuous for all x. (4 Points)

Which of the following functions are discontinuous?I) f(x) = x^2 + 1 when x < 0 and f(x) = x + 1 when x ≥ 0II) f(x) = x when x < 0, f(x) = 1 when x = 0, and f(x) = -x when x > 0III) f(x) = 2

Let be some fixed parameter. The following function is discontinuous at .Question 5Select one:TrueFalse

ist the value(s) of 𝑥 at which 𝑓 is discontinuous.